# Eigenvalues and eigenstates of the many-body collective neutrino oscillation problem

@article{Patwardhan2019EigenvaluesAE, title={Eigenvalues and eigenstates of the many-body collective neutrino oscillation problem}, author={Amol V. Patwardhan and Michael J. Cervia and A. Baha Balantekin}, journal={Physical Review D}, year={2019} }

We demonstrate a method to systematically obtain eigenvalues and eigenstates of a many-body Hamiltonian describing collective neutrino oscillations. The method is derived from the Richardson-Gaudin framework, which involves casting the eigenproblem as a set of coupled nonlinear "Bethe Ansatz equations", the solutions of which can then be used to parametrize the eigenvalues and eigenvectors. The specific approach outlined in this paper consists of defining auxiliary variables that are related to…

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